Jerry L. Bona
Eric M. Friedlander (Chair)
Nigel D. Higson
J. T. Stafford
2000 Mathematics Subject Classification. Primary 03C30, 03C45, 03C52, 03C60, 03C75,
The author was partially supported by NSF grant 0500841.
The two diagrams on p. 135 are reprinted with the permission of Alexei Kolesnikov.
For additional information and updates on this book, visit
Library of Congress Cataloging-in-Publication Data
Baldwin, John T.
Categoricity / John T. Baldwin.
p. cm. — (University lecture series ; v. 50)
Includes bibliographical references and index.
ISBN 978-0-8218-4893-7 (alk. paper)
1. Completeness theorem. 2. Model theory. I. Title.
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy a chapter for use
in teaching or research. Permission is granted to quote brief passages from this publication in
reviews, provided the customary acknowledgment of the source is given.
Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society. Requests for such
permission should be addressed to the Acquisitions Department, American Mathematical Society,
201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by
e-mail to email@example.com.
c ⃝ 2009 by the author. All rights reserved.
Printed in the United States of America.
∞ The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
Visit the AMS home page at http://www.ams.org/
10 9 8 7 6 5 4 3 2 1 14 13 12 11 10 09